1. Fractions & Percents Expressing Percents as Fractions and Fractions as Percents

2. Percents A percent is a part to whole ratio that compares a number to 100. A percent is a part to whole ratio that compares a number to 100. Percent comes from the Latin word centum, which means “hundred”. Percent comes from the Latin word centum, which means “hundred”. To write a percent as a fraction, express the ratio as a fraction with a denominator of 100. To write a percent as a fraction, express the ratio as a fraction with a denominator of 100. 80% means 80 out of 100 or 80/100. 80% means 80 out of 100 or 80/100.

3. Percents as Fractions Example:Express 45% as a fraction. Express 5% as a fraction. Express 5% as a fraction.

4. Express percents as fractions:

5. Your Turn Express Percents as Fractions 1. 45% 2. 7% 3. 223%

6. Percents as Fractions On a radio station’s top song countdown, 58% of the songs were sung by women. What fraction of the songs were sung by women? 58% = Can you express the fraction in reduced form?

7. Fractions as Percents A fraction represents a part of a whole. The numerator represents a number of equal parts. The denominator (which cannot be zero) indicates how many of those parts make up a whole. Fraction comes from the Latin word fractus which means “broken”. To write a fraction as a percent, write an equivalent fraction with a denominator of 100

8. Set up an equivalent fraction with a denominator of 100. Express as a percent. What would you have to multiply the denominator “4” by to get to 100? x 25 Convert numerator

9. Express as a percent. x 20

10. Fractions as Percents Your Turn 1. 2. 3. 4. 1. 80% 2. 5% 3. 16% 4. 90%

11. Fractions as Percents You buy a shirt that is cotton, polyester, and the rest is linen. a) What percent of the shirt is cotton? b) What percent of the shirt is polyester? c) What percent of the shirt is linen? a) 25% b) 60% c) 15%

12. QUESTIONS?